20. S dr √3-4r-r²

Q: Exercises To Solve [No.5] 3-2x-x²

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Q: 5ñ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=to x== 4 (A) 3.667…

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Q: Define Q as the region bounded by the functions f(x) = x and g(x) = in the first quadrant between y…

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Q: QUESTION 10 Consider O 5 14/3 O 6 O 17/6 3x5 3x4+6x3-3x2 - 6x Sx-m + A+ dx Using the method of…

A: On solving this we will get

Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

Q: Q2/ Find the value of the integration by Simpson's method when 3 = n, then compare the result with…

A: We have  slove above integration

Q: (d) y = √√√x, y = 2, x = 9 M

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: We have to find the radius of inner circle

Q: QUESTION 16 y dy Find of- using the substitution +5= √√y+2 √y+2 ² (√√y+2-5) (-5√/y+2+y+21) + C…

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Q: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01

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Q: The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: The simple use integration

Q: For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du…

A: We can rewrite the given integral by using this substitution u = x1/2

Q: Consider ·S= √(x-m+ A₁ 17/6 14/3 3x5 3x4+6x33x² - 6x с B -+ x+1 x + m -dx Using the method of…

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Q: Question 15 Find the area bounded by the curve y = -x 16 A 8 square units B 16 square units C10…

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Q: Find the area bounded by the curve y = 1x³ - 2x² + 3x and the line x3_ 16 16 square units 10 square…

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Q: The volume of a cube can be represented using the function V(s) = s³ Which formula of the sphere is…

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Q: Given that f is a differentiable function with f(3, 4) = 8, fx(3, 4) = 1, and f,(3, 4) = −1, use a…

A: We have to find the value of function by linear approximation.

Q: Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x -…

A: We have to solve integration

Q: Stan" (x) sectx dx -tan (m + 1)(x). _¹_ -tan (m-1)(x) + C m+1 m-1 ¹__tan (™ + 2)(x) + —tan” (x) + C…

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Q: dx The integral s can be transformed to which of the following when trigonometric substitution is…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: Exercises To Solve 3-2x-x²

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Q: The rate of growth of a population after t years is given by the equation P(t) = 5t. What is the net…

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Q: 6. 7 [sin¹ 3xdx

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Q: Rearrange lim x* so that we can apply x→0+ L'hopital's rule.

A: Given,limx→ 0+xx

Q: 2. 2 4 Scot² 3x csc + 3xdx

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Q: Evaluate 3x5 3x4+6x3-3x2 - 6x S= -dx, using method of partial fractions.

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Q: 7. fex tan¹(ex dx

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Q: Find y dy ·S using the substitution u +5=√√y+2 y+2 © ²(√√y+2-5) (5√/y+2+y+24) + C…

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Q: Exercises To Solve [No.5] 3dx 9x²-6X+5 1

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Q: 11. fel/x²di .3 X хр

A: Here, to evaluate: I=∫e1x2x3dx

Q: Which of the following equations correctly states the Product Rule of Differentiation? dy = = f(x)g…

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Q: Question 14 The integral x dx can be transformed to which of the following using trigonometric…

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Q: O 15.21 square units 33.43 square units O 43.23 square units O 22.89 square units

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Q: X+2 √4x-x² 16. S dx

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

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Q: What is dy/dx of the given function ³ - 2y² = 6 ? 0-²2 3:² CHE o 3,212

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Q: 10. 3 J√cos z sin ³ zdz COS

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: π 5ñ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x== to x== 4 (A) 1.414…

A: Here is the solution

Q: Given: 3z = xy Find fy O xy/3 Oy/3 Ox/3 O None of the choices

A: We can find the partial derivative as below

Q: valuate A B C (D) Stan" (x tan" (x) sec4x dx. 1 -tan (m + 3)(x) +_¹__tan -tan (m + ¹)(x) + C 1) m+3…

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Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

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Q: sin (In. sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A: We need to integrate the given function with integration by parts.   We will do it twice

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1) (A) 1/2 B)…

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Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: Question 2 S y dy Find √x+2 A ² (√x+2-5) (5√/y+2+y+24) + C 3 ℗ ²² (√5+2-5) (5√/y+2+y+21) + C B…

A: GIVEN